Rarita-Schwinger type operators in Clifford analysis

被引：53
|
作者：
Bures, J
Sommen, F
Soucek, V
Van Lancker, P
机构：
[1] Charles Univ Prague, Inst Math, Prague, Czech Republic
[2] Univ Ghent, Dept Math Anal, B-9000 Ghent, Belgium
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2001年 / 185卷 / 02期
关键词：
Clifford analysis; Dirac operators; representations; spin groups;
D O I：
10.1006/jfan.2001.3781
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we investigate a generalization of the classical Rarita-Schwinger equations for spin 3/2 fields to the case of functions taking values in irreducible representation spaces with weight k+1/2. These fields may be realised as functions taking values in spaces of spherical monogenics earlier considered in F. Sommen and N. Van Acker (1993, in "Clifford Algebras and Their Applications in Mathematical Physics." Kluwer Academic, Dordrecht / Norwell, MA). In this paper we develop the main function theoretic results. (C) 2001 Academic Press.
引用
收藏
页码：425 / 455
页数：31
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